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n200080 [17]
3 years ago
11

Stuck on this please help

Mathematics
1 answer:
Ratling [72]3 years ago
3 0

Answer:

The answers are given below.

Step-by-step explanation:

7. Simplified Fractions/Integers:

a. $ (25)^{\frac{-3}{2}} $

= $ (5^2)^{\frac{-3}{2}} $

= $ 5^{-3} $

= $ \frac{1}{5^3} = \frac{1}{125} $ is the required answer.

b. $ \bigg ( \frac{1}{7} \bigg )^{2} $

= $ \bigg( \frac{1}{7^2} \bigg) $

= $ \frac{1}{49} $ is the required answer.

c. $ \bigg ( \frac{1}{7} \bigg) ^{-3} $

= $ \bigg ( \frac{1}{7^{-3}} \bigg )$

= $ 7^{3} $ = 343 is the required answer.

8. Simplified Fractions:

a. $ \bigg( \frac{27}{8} \bigg ) ^{\frac{2}{3}}$

= $ \bigg ( \frac{3^3}{2^3} \bigg ) ^{\frac{2}{3}} $

= $ \bigg ( \frac{3}{2} \bigg) ^2  $

$ = \frac{9}{4} $ is the required answer.

b. $ \bigg ( \frac{4}{25} \bigg)^{\frac{-3}{2}} $

= $ \bigg ( \frac{2^2}{5^2} \bigg)^{\frac{-3}{2}}

= $ \bigg ( \frac{2^{-3}}{5^{-3}} \bigg ) $

= $ \bigg( \frac{5^3}{2^3} \bigg ) $

= $ \frac{125}{8} $ is the required answer.

9. Index Forms:

a. √3

= $ 3^{\frac{1}{2}} $ is the required answer.

b. ∛3

= $ 3^{\frac{1}{3}} $ is the required answer.

c. $\sqrt[6]{2} $

= $ 2^{\frac{1}{6} $ is the required answer.

d. $ \sqrt{5^3} $

= $ 5^{\frac{3}{2}} $ is the required answer.

e. $ \frac{1}{(\sqrt[3]{5})^2} $

= $ \frac{1}{5^{\frac{2}{3}}} $

= $ 5^{\frac{-2}{3}} $ is the required answer.

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Answer:

22.8 grams

Step-by-step explanation:

To find total amount of medicine, we have to add all the 3 quantities of Chemical A, Chemical B, and Chemical C.

Before we do that, we have to round up each quantity to the nearest tenths.

Nearest tenths means we can take "1 digit" after the decimal point. For that we use rounding rules.

If the 2nd digit to the right of decimal is 5 or greater, we round up the 1st digit to the next whole number. If the 2nd digit is less than 5, we keep the 1st digit same.

So, using that we round up each of the three numbers as shown:

3.732 becomes 3.7 (since 3 is less than 5, we keep the 7)

13.902 becomes 13.9 (since 0 is less than 5, we keep 9)

5.208 becomes 5.2 (since 0 is less than 5, we keep 2)

Now we add:

3.7 + 13.9 + 5.2 = 22.8 grams

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What is the quotient for 2 8/9 / (-5 8/9)
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Simplify. Evaluate the numerical bases. 3^2 b^2 c^-4 *3^-1 b^-5 c^7
photoshop1234 [79]
Hope I can be of assistance!

3^2b^2c^{-4}\cdot \:3^{-1}b^{-5}c^7 \ \textgreater \  \mathrm{Apply\:exponent\:rule}:\ \:a^b\cdot \:a^c=a^{b+c}
3^{-1}\cdot \:3^2=\:3^{2-1}=\:3^1=\:3 \ \textgreater \  3b^{-5}b^2c^{-4}c^7

\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \  b^{-5}b^2=\:b^{2-5}=\:b^{-3}
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\mathrm{Apply\:exponent\:rule}: \:a^b\cdot \:a^c=a^{b+c} \ \textgreater \  c^{-4}c^7=\:c^{-4+7}=\:c^3
3b^{-3}c^3

\mathrm{Apply\:exponent\:rule}: \:a^{-b}=\frac{1}{a^b} \ \textgreater \  b^{-3}=\frac{1}{b^3} \ \textgreater \  3\cdot \frac{1}{b^3}c^3

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Finally
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Answer:

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Why are handcuffs like souvenirs?
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<u>Part A)</u> 7(a+b)=7a+

Using the distributive property

7(a+b)=7a+7b

therefore

<u>the answer Part A is</u>

9-----> A

<u>Part R)</u>  4(5+x)=20+

Using the distributive property

4(5+x)=20+4x

therefore

<u>the answer Part R is</u>

14-----> R

<u>Part Y)</u> 3(2x+9)=6x+

Using the distributive property

3(2x+9)=6x+27

therefore

<u>the answer Part Y is</u>

4-----> Y

Part S)  8(3x+1)=+8

Using the distributive property

8(3x+1)=24x+8

therefore

<u>the answer Part S is</u>

23-----> S

<u>Part O)</u>  a(4+b)=+ab

Using the distributive property

a(4+b)=4a+ab

therefore

<u>the answer Part O is</u>

17-----> O  

<u>Part E)</u> x(y+10)=+10x

Using the distributive property

x(y+10)=xy+10x

therefore

<u>the answer Part E is</u>

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Using the distributive property

2(7x+4y)=14x+8y

therefore

<u>the answer Part I is</u>

20-----> I

<u>Part D)</u> 6(9+5x)=54+

Using the distributive property

6(9+5x)=54+30x

therefore

<u>the answer Part D is</u>

10-----> D  

<u>Part W)</u> x(a+3b)=+3bx

Using the distributive property

x(a+3b)=ax+3bx

therefore

<u>the answer Part W is</u>

18-----> W

<u>Part E)</u> a(8x+2y)=8ax+

Using the distributive property

a(8x+2y)=8ax+2ay

therefore

<u>the answer Part E is</u>

7-----> E

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Using the distributive property

<u>Part T)</u> 0.5(4a+10)=2a+5

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<u>the answer Part T is</u>

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Using the distributive property

(2/3)(12+9y)=8+6y

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<u>the answer Part R is</u>

6-----> R  

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5x+5y=5(x+y)

therefore

<u>the answer Part O is</u>

13-----> O

<u>Part T)</u> 9a+9b=9(\ +b)

9a+9b=9(a+b)

therefore

<u>the answer Part T is</u>

22-----> T

Part W) 4m+4n=\ (m+n)

4m+4n=4(m+n)

therefore

<u>the answer Part W is</u>

16-----> W

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ab+3a=a(b+3)

therefore

<u>the answer Part H is</u>

2-----> H  

<u>Part E)</u> xy+15x=\ (y+15)

xy+15x=x(y+15)

therefore

<u>the answer Part E is</u>

11-----> E

Part A) bu+uv=\ (b+v)

bu+uv=u(b+v)

therefore

<u>the answer Part A is</u>

5-----> A

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(2/5)m+(2/5)n=(2/5)(m+n)

therefore

<u>the answer Part F is</u>

12-----> F

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(3/4)a+(3/4)b+(3/4)c=(3/4)(a+b+c)

therefore

<u>the answer Part M is</u>

8-----> M  

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7ax+2ay=a(7x+2y)

therefore

<u>the answer Part S is</u>

21-----> S

Part T) 4kx+11ky=\ (4x+11y)

4kx+11ky=k(4x+11y)

therefore

<u>the answer Part T is</u>

15-----> T

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3ay+8by=y(3a+8b)

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19-----> R

<u>the answer is</u>

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